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We solve a set of selected exercises on rotational motion requiring a mechanical and thermodynamical analysis. When non-conservative forces or thermal effects are present, a complete study must use the first law of thermodynamics together…

Classical Physics · Physics 2014-04-08 Julio Güémez , Manuel Fiolhais

We investigate the thermodynamics of integrable classical field theories under the effect of a random initial configuration, motivated by the nonequilibrium evolution of quantum field theories. The approach to thermal equilibrium is…

Statistical Mechanics · Physics 2016-10-05 P. E. G. Assis

We present an example of a Thermal Process for a system of $d$ energy levels, which cannot be performed without an instant access to the whole energy space. This Thermal Process is uniquely connected with a transition between some states of…

Quantum Physics · Physics 2018-10-25 Paweł Mazurek , Michał Horodecki

We revisit the definition of rotating thermal states for scalar and fermion fields in unbounded Minkowski space-time. For scalar fields such states are ill-defined everywhere, but for fermion fields an appropriate definition of the vacuum…

High Energy Physics - Theory · Physics 2014-12-31 Victor E. Ambruş , Elizabeth Winstanley

We investigate the thermalization of a stochastic system with discrete phase space, initially at equilibrium at temperature $T_i$ and then termalizing in an environment at temperature $T_f$ , considering both cases $T_i > T_f$ and $T_i <…

Statistical Mechanics · Physics 2025-08-05 A. Imparato

Transverse thermoelectric effects interconvert charge and heat currents in orthogonal directions due to the breaking of either time-reversal symmetry or structural symmetry, enabling simple and versatile thermal energy harvesting and…

Materials Science · Physics 2025-09-30 Hiroto Adachi , Fuyuki Ando , Takamasa Hirai , Rajkumar Modak , Matthew A. Grayson , Ken-ichi Uchida

Differential geometry offers a powerful framework for optimising and characterising finite-time thermodynamic processes, both classical and quantum. Here, we start by a pedagogical introduction to the notion of thermodynamic length. We…

Quantum Physics · Physics 2021-08-31 Paolo Abiuso , Harry J. D. Miller , Martí Perarnau-Llobet , Matteo Scandi

Stochastic dynamics with random resetting leads to a non-equilibrium steady state. Here, we consider the thermodynamics of resetting by deriving the first and second law for reset processes far from equilibrium. We identify the…

Statistical Mechanics · Physics 2017-01-31 Jaco Fuchs , Sebastian Goldt , Udo Seifert

Quantum thermalization occurs in a broad class of systems from elementary particles to complex materials. Out-of-equilibrium quantum systems have long been understood to either thermalize or retain memory of their initial states, but not…

Quantum Physics · Physics 2025-02-20 Luheng Zhao , Prithvi Raj Datla , Weikun Tian , Mohammad Mujahid Aliyu , Huanqian Loh

Engines are systems and devices that convert one form of energy into another, typically into a more useful form that can perform work. In the classical setup, physical, chemical, and biological engines largely involve the conversion of heat…

Quantum Physics · Physics 2024-11-19 Loris Maria Cangemi , Chitrak Bhadra , Amikam Levy

We discuss the phase transition and critical exponents in the random allocation model (urn model) for different statistical ensembles. We provide a unified presentation of the statistical properties of the model in the thermodynamic limit,…

Statistical Mechanics · Physics 2023-12-07 Piotr Bialas , Zdzislaw Burda , Desmond A. Johnston

Quantum effects in material systems are often pronounced at low energies and become insignificant at high temperatures. We find that, perhaps counterintuitively, certain quantum effects may follow the opposite route and become sharp when…

Statistical Mechanics · Physics 2015-09-08 Z. Nussinov , F. Nogueira , M. Blodgett , K. F. Kelton

The notion of thermal time has been introduced as a possible basis for a fully general-relativistic thermodynamics. Here we study this notion in the restricted context of stationary spacetimes. We show that the Tolman-Ehrenfest effect (in a…

General Relativity and Quantum Cosmology · Physics 2011-03-14 Carlo Rovelli , Matteo Smerlak

We set up a framework for quantum stochastic thermodynamics based solely on experimentally controllable, but otherwise arbitrary interventions at discrete times. Using standard assumptions about the system-bath dynamics and insights from…

Quantum Physics · Physics 2019-08-22 Philipp Strasberg

It is generally admitted in thermodynamics that, for a given change in volume, the work done by a system is greater in conditions of reversibility than in conditions of irreversibility. If the basic conventions of physics are strictly…

General Physics · Physics 2007-10-31 Jean-Louis Tane

We consider two statistically independent systems described by the same entropy belonging to the two-parameter family of Sharma-Mittal. Assuming a weak interaction among the systems, allowing in this way an exchange of heat and work, we…

Statistical Mechanics · Physics 2009-11-11 A. M. Scarfone

In this paper we carefully reexamine the various framworks existing in the field of relativistic thermodynamics. We scrutinize in particular the different conceptual foundations of notions like the relativistic work, heat force, moving heat…

General Relativity and Quantum Cosmology · Physics 2008-01-21 Manfred Requardt

A quantum system in contact with a heat bath undergoes quantum transitions between energy levels upon absorption or emission of energy quanta by the bath. These transitions remain virtual unless the energy of the system is measured…

Quantum Physics · Physics 2015-06-16 Michel Bauer , Denis Bernard

Energy is often partitioned into heat and work by two independent paths corresponding to the change in the eigenenergies or the probability distributions of a quantum system. The discrepancies of the heat and work for various quantum…

Quantum Physics · Physics 2018-08-01 Shan-He Su , Jin-Fu Chen , Yu-Han Ma , Jin-Can Chen , Chang-Pu Sun

We discuss how the thermalization of an elementary quantum system is modified when the system is placed in an environment out of thermal equilibrium. To this aim we provide a detailed investigation of the dynamics of an atomic system placed…

Quantum Physics · Physics 2013-01-16 Bruno Bellomo , Riccardo Messina , Didier Felbacq , Mauro Antezza